279 citations · 733 across the 42 of their papers we have counts for
5 papers · 1 filter
Doubling inequalities for the Lamé system with rough coefficients
Herbert Koch, Ching-Lung Lin, Jenn-Nan Wang
In this paper we study the local behavior of a solution to the Lamé system when the Lamé coefficients and satisfy that is Lipschitz and is essentially bounded in di…
Partial analyticity and nodal sets for nonlinear elliptic systems
Herbert Koch, Nikolai Nadirashvili
We study partial analyticity of solutions to elliptic systems and analyticity of level sets of solutions to nonlinear elliptic systems. We consider several applications, including…
The Variable Coefficient Thin Obstacle Problem: Optimal Regularity and Regularity of the Regular Free Boundary
Herbert Koch, Angkana Rüland, Wenhui Shi
This article deals with the variable coefficient thin obstacle problem in dimensions. We address the regular free boundary regularity, the behavior of the solution close to t…
Convexity and concavity of the ground state energy
Herbert Koch
This note proves convexity resp. concavity of the ground state energy of one dimensional Schrödinger operators as a function of an endpoint of the interval for convex resp. concave…
The Variable Coefficient Thin Obstacle Problem: Carleman Inequalities
Herbert Koch, Angkana Rüland, Wenhui Shi
In this article we present a new strategy of addressing the (variable coefficient) thin obstacle problem. Our approach is based on a (variable coefficient) Carleman estimate. This…